Jun 17, 2018, 0:46
The area was packed with World Cup fans, with the taxi hitting a number of pedestrians.
Mexico's embassy in Russian Federation said two of its citizens were among the injured.
They added that the taxi driver likely lost control of the vehicle.
Moscow Police said the driver likely lost control of the vehicle rather than deliberately steering his auto into pedestrians.
Seven or eight people were injured during the crash, according to local media reports.
The driver is reported to have tried to flee the scene, but was arrested by police.
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Russia is now hosting the World Cup and Moscow is one of 11 Russian cities where tournament games are being played. "He was shouting: "It wasn't me".
Two ambulances quickly arrived at the scene and seven people were taken to hospital.
The Moscow traffic authority has said the taxi driver said he was not acting on goal.
The driver of the taxi has been detained, officials said.
The accident took place on Ilinka Street, approximately 650 feet from Moscow's famous Red Square and GUM shopping arcade.
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